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The Collaborative International Dictionary
Despoticalness

Despotic \Des*pot"ic\, Despotical \Des*pot"ic*al\, a. [Gr. despotiko`s: cf. F. despotique.] Having the character of, or pertaining to, a despot; absolute in power; possessing and abusing unlimited power; evincing despotism; tyrannical; arbitrary. -- Des*pot"ic*al*ly, adv. -- Des*pot"ic*al*ness, n.

Wiktionary
despoticalness

n. The state or quality of being despotical.